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120449335798671 = 31115124172052137
BaseRepresentation
bin11011011000110001001011…
…110111111010101110001111
3120210110211210022100122121220
4123120301023313322232033
5111241420214431024141
61104101354434254423
734241114553355665
oct3330611367725617
9523424708318556
10120449335798671
1135419304a50340
1211613a7aa27413
135229429020a99
1421a5ac9666c35
15ddd26c443766
hex6d8c4bdfab8f

120449335798671 has 16 divisors (see below), whose sum is σ = 176359292398848. Its totient is φ = 72516156408000.

The previous prime is 120449335798553. The next prime is 120449335798679. The reversal of 120449335798671 is 176897533944021.

It is not a de Polignac number, because 120449335798671 - 211 = 120449335796623 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120449335798596 and 120449335798605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120449335798679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12086021086 + ... + 12086031051.

It is an arithmetic number, because the mean of its divisors is an integer number (11022455774928).

It is a 2-persistent number, because it is pandigital, and so is 2⋅120449335798671 = 240898671597342, but 3⋅120449335798671 = 361348007396013 is not.

Almost surely, 2120449335798671 is an apocalyptic number.

120449335798671 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

120449335798671 is a deficient number, since it is larger than the sum of its proper divisors (55909956600177).

120449335798671 is a wasteful number, since it uses less digits than its factorization.

120449335798671 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24172052302.

The product of its (nonzero) digits is 274337280, while the sum is 69.

The spelling of 120449335798671 in words is "one hundred twenty trillion, four hundred forty-nine billion, three hundred thirty-five million, seven hundred ninety-eight thousand, six hundred seventy-one".

Divisors: 1 3 11 33 151 453 1661 4983 24172052137 72516156411 265892573507 797677720521 3649979872687 10949939618061 40149778599557 120449335798671